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434371744340 = 225971012216861
BaseRepresentation
bin1100101001000101001…
…00101101001001010100
31112112012010001220011222
412110202210231021110
524104043131304330
6531314141545512
743245064623122
oct6244244551124
91475163056158
10434371744340
11158241586686
1270226275298
1331c656523c1
141704908c912
15b4742290e5
hex652292d254

434371744340 has 48 divisors (see below), whose sum is σ = 930709607184. Its totient is φ = 170254848000.

The previous prime is 434371744337. The next prime is 434371744379. The reversal of 434371744340 is 43447173434.

It can be written as a sum of positive squares in 8 ways, for example, as 3382120336 + 430989624004 = 58156^2 + 656498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434371744291 and 434371744300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912491 + ... + 1304370.

It is an arithmetic number, because the mean of its divisors is an integer number (19389783483).

Almost surely, 2434371744340 is an apocalyptic number.

It is an amenable number.

434371744340 is an abundant number, since it is smaller than the sum of its proper divisors (496337862844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434371744340 is a wasteful number, since it uses less digits than its factorization.

434371744340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217068 (or 2217066 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 44.

It can be divided in two parts, 434371 and 744340, that added together give a palindrome (1178711).

The spelling of 434371744340 in words is "four hundred thirty-four billion, three hundred seventy-one million, seven hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 101 194 202 388 404 485 505 970 1010 1940 2020 9797 19594 39188 48985 97970 195940 2216861 4433722 8867444 11084305 22168610 44337220 215035517 223902961 430071034 447805922 860142068 895611844 1075177585 1119514805 2150355170 2239029610 4300710340 4478059220 21718587217 43437174434 86874348868 108592936085 217185872170 434371744340